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Finding the Fourth Proportional to 18,289.56, 25,239.46 and 9,906

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Solution

The fourth proportional to 18,289.56, 25,239.46 and 9,906 is: 13,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,289.56 : 25,239.46 = 9,906 : x
  2. Step 2: Convert to fraction form
    18,289.56/25,239.46 = 9,906/x
  3. Step 3: Cross multiply
    18,289.56x = 25,239.46 × 9,906
  4. Step 4: Simplify right side
    18,289.56x = 250,022,090.76
  5. Step 5: Solve for x
    x = 250,022,090.76/18,289.56
  6. Step 6: Final answer
    x = 13,670.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.